Keras: early stopping model saving

For now I'm using early stopping in Keras like this:

X,y= load_data('train_data')
X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.1, random_state=12)

datagen = ImageDataGenerator(
    horizontal_flip=True,
    vertical_flip=True)

early_stopping_callback = EarlyStopping(monitor='val_loss', patience=epochs_to_wait_for_improve)
history = model.fit_generator(datagen.flow(X_train, y_train, batch_size=batch_size),
            steps_per_epoch=len(X_train) / batch_size, validation_data=(X_test, y_test),
            epochs=n_epochs, callbacks=[early_stopping_callback])

But at the end of model.fit_generator it will save model after epochs_to_wait_for_improve, but I want to save model with min val_loss does it make sense and is it possible?